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Simplifying 6[7 + -1(-2x + -1)] = 108x + 96 Reorder the terms: 6[7 + -1(-1 + -2x)] = 108x + 96 6[7 + (-1 * -1 + -2x * -1)] = 108x + 96 6[7 + (1 + 2x)] = 108x + 96 Combine like terms: 7 + 1 = 8 6[8 + 2x] = 108x + 96 [8 * 6 + 2x * 6] = 108x + 96 [48 + 12x] = 108x + 96 Reorder the terms: 48 + 12x = 96 + 108x Solving 48 + 12x = 96 + 108x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108x' to each side of the equation. 48 + 12x + -108x = 96 + 108x + -108x Combine like terms: 12x + -108x = -96x 48 + -96x = 96 + 108x + -108x Combine like terms: 108x + -108x = 0 48 + -96x = 96 + 0 48 + -96x = 96 Add '-48' to each side of the equation. 48 + -48 + -96x = 96 + -48 Combine like terms: 48 + -48 = 0 0 + -96x = 96 + -48 -96x = 96 + -48 Combine like terms: 96 + -48 = 48 -96x = 48 Divide each side by '-96'. x = -0.5 Simplifying x = -0.5
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